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Finding the Fourth Proportional to 16,886.98, 23,303.09 and 9,712.10

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Solution

The fourth proportional to 16,886.98, 23,303.09 and 9,712.10 is: 13,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,886.98 : 23,303.09 = 9,712.10 : x
  2. Step 2: Convert to fraction form
    16,886.98/23,303.09 = 9,712.10/x
  3. Step 3: Cross multiply
    16,886.98x = 23,303.09 × 9,712.10
  4. Step 4: Simplify right side
    16,886.98x = 226,322,022.93
  5. Step 5: Solve for x
    x = 226,322,022.93/16,886.98
  6. Step 6: Final answer
    x = 13,402.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.